Benedict Barnes
Department of MathematicsPhysical SciencesHealth SciencesSocial Sciences

Benedict Barnes

56 Publications26 Research Themes47 Open Access
Research Overview & Focus

The research integrates advanced mathematical models across diverse scientific domains to address challenges in public health, urban planning, environmental management, and medicine. Employing techniques such as fractional calculus, iterative numerical methods, fixed-point theorems, wavelet-based signal processing, and virtual or physical modeling approaches, these studies develop comprehensive solutions for complex problems. These methodologies are applied across themes like anaerobic digestion of waste, nonlinear photonic systems, COVID-19 epidemiology, family dynamics, and geotechnical engineering, highlighting an interdisciplinary approach that bridges physics, medicine, urban planning, and environmental science. The focus is on leveraging analytical tools to enhance problem-solving in real-world contexts, emphasizing methodologies such as fractional calculus, iterative techniques, fixed-point proofs, virtual process modeling, and time-series analysis.

Faculty Biography

Dr. Benedict Barnes is an Associate Professor at the Mathematics Department, Kwame Nkrumah University of Science and Technology (KNUST), Kumasi, Ghana. He received his Masters and Doctoral degrees from the same university in 2011 and 2016, respectively. He has served the university in several domains across the three core duties of a university lecturer, that is, research, teaching, and service to the public. Dr. Barnes is a Mathematician whose research interest is in the field of both applied and pure mathematics with a special focus on differential equations, functional analysis, abstract algebra, linear algebra and numerical analysis. He has published articles in various aspects of mathematics including Differential Equations, Functional Analysis, Algebra and Numerical Analysis and Computations. He has published over fifty-two (52) peer reviewed articles in refereed journals, twenty-five (25) of them were published in last three years.  He is a member of American Mathematical Association, Ghana Mathematics Association and a reviewer of the applied mathematical letters (Elesiver), waves in random and complex media (Taylor and Francis Group), and journal of inequalities and applications (Springer Nature). He has also presented his research findings in a number of conferences, including, the International Applied Mathematics, Algorithms and Mathematical Methods held in Rome, Italy, 2021, 2nd international conference on engineering, science, technology and entrepreneurship, and also at the Ghana science association webinar, 2021 on the theme; Covid-19 pandemic: scientific updates and the way forward.So far, he has trained one Ph.D student and has several PhD and MPhil thesis ongoing with contemporary topics such as; climate modelling, modelling of depletion of the ozone layer, modelling of infectious diseases, modeling of fluid dynamics, modelling of biochemical reactions, chaos in Chua's circuit, modelling of problems in engineering, social problems, physiology and ill-posed problems.He teaches both post-graduate and undergraduate students at the Kwame Nkrumah University of Science and Technology. He is a lecturer that in the classroom exhibits the two essential elements of a teacher, that is, science and the skill of teaching. He is also very innovative in the classroom and trains his students with an in-depth knowledge in pure mathematics and its applications in real life.Dr. Barnes has held positions in the Mathematics department, such as; the examinations officer for both regular and IDL programmes, assistant post-graduate cordinator, patron of mathematics students association. He has also served as chairman of several comittees in the Mathematics department. He has also served on both local and national committees and boards in Ghana. He has in enormous ways displayed an excellent communication and presentation skills in the several invitations he honored across the country and also, at international level. Dr. Barnes is an unapologetic nerd and his love for mathematics is superb. He is also open to collaborations with scholars and researchers in diverse fields of interest.

Key Research Themes (26)
Physical Sciences

Advanced Numerical Analysis Techniques

Physical Sciences

Anaerobic Digestion and Biogas Production

Health Sciences

Cervical Cancer and HPV Research

Social Sciences

Complex Systems and Time Series Analysis

Physical Sciences

COVID-19 epidemiological studies

Physical Sciences

Differential Equations and Boundary Problems

Social Sciences

Family Dynamics and Relationships

Physical Sciences

Fixed Point Theorems Analysis

Physical Sciences

Fractional Differential Equations Solutions

Physical Sciences

Geochemistry and Elemental Analysis

Physical Sciences

Geotechnical Engineering and Soil Stabilization

Physical Sciences

Image and Signal Denoising Methods

Physical Sciences

Iterative Methods for Nonlinear Equations

Health Sciences

Mathematical and Theoretical Epidemiology and Ecology Models

Physical Sciences

Mathematical Inequalities and Applications

Physical Sciences

Mathematics and Applications

Physical Sciences

Municipal Solid Waste Management

Physical Sciences

Nonlinear Photonic Systems

Physical Sciences

Nonlinear Waves and Solitons

Physical Sciences

Numerical methods in inverse problems

Physical Sciences

Optimization and Mathematical Programming

Physical Sciences

Optimization and Variational Analysis

Health Sciences

Pediatric health and respiratory diseases

Physical Sciences

Plant Water Relations and Carbon Dynamics

Physical Sciences

Quantum Chromodynamics and Particle Interactions

Health Sciences

Viral gastroenteritis research and epidemiology

Publications (56)

A methodological approach to solving the Korteweg–de Vries equation in its various forms

Open Access
2025Nonlinear Waves and SolitonsDOI: 10.1016/j.sciaf.2025.e02864

Exact solution of system of nonlinear fractional partial differential equations by modified semi-separation of variables method

Open Access
2025Fractional Differential Equations SolutionsDOI: 10.1016/j.padiff.2025.101247

The Modified Homogeneous Balance Method for solving fractional Cahn–Allen and equal width equations

Open Access
2025Nonlinear Waves and SolitonsDOI: 10.1016/j.padiff.2025.101246

The Exact Solution of the Fractional Burger’s Equation using the Modified Homogeneous Balance Method

Open Access
2025Fractional Differential Equations SolutionsDOI: 10.1016/j.sciaf.2025.e02789

Proportional feedback and optimal control of perturbed sine-Gordon kink solitons

2025Nonlinear Waves and SolitonsDOI: 10.1016/j.chaos.2025.116645

The exact solution of the composite fractional differential equation

2025Fractional Differential Equations SolutionsDOI: 10.1016/j.chaos.2025.116288

Solving system of nonlinear fractional partial differential equations by fractional semi-separation of variables method

Open Access
2025Fractional Differential Equations SolutionsDOI: 10.1080/27684830.2025.2476871

Fractional Gauss Hypergeometric Power Series Method for Solving Fractional Partial Differential Equations

Open Access
2025Fractional Differential Equations SolutionsDOI: 10.1155/aaa/7650251

Analytic Solution of the Composite Fractional Oscillation Equation Using Homotopy Analysis Method and Variational Iteration Method

Open Access
2025Fractional Differential Equations SolutionsDOI: 10.2139/ssrn.5092338

The Analytic Methods for Solving the System of Fractional Order Brusselator Equations

Open Access
2025Fractional Differential Equations SolutionsDOI: 10.1155/ijde/8436408

Modified Semiseparation of Variables Methods for Solving the System of Nonlinear Fractional Partial Differential Equations

Open Access
2025Fractional Differential Equations SolutionsDOI: 10.1155/ijde/3634269

The Modified Homogeneous Balance Methods for solving Korteweg–DeVries equations

Open Access
2024Nonlinear Waves and SolitonsDOI: 10.1016/j.padiff.2024.101035

Uptake and in-vitro bioaccessibility of toxic metals in cocoa beans: Human health risks

2024Geochemistry and Elemental AnalysisDOI: 10.1007/s10653-024-02345-0

Modified Fractional Power Series Method for solving fractional partial differential equations

Open Access
2024Fractional Differential Equations SolutionsDOI: 10.1016/j.sciaf.2024.e02467

Convexity Properties in Non-Newtonian Calculus and Their Applications

Open Access
2024Advanced Numerical Analysis TechniquesDOI: 10.28924/ada/ma.4.19

The Fractional Separation of Variables Method For  Solving System Of Nonlinear Fractional Partial Differential Equation

Open Access
2024Fractional Differential Equations SolutionsDOI: 10.2139/ssrn.4770747

Fractional‐Order Delay Cobweb Model and Its Price Dynamics

Open Access
2024Complex Systems and Time Series AnalysisDOI: 10.1155/2024/1209433

The Modified Homogeneous Balance Methods for Solving Space-Time Fractional Kaup-Kupershmidt Equation

Open Access
2024Fractional Differential Equations SolutionsDOI: 10.2139/ssrn.5067731

The Analytic Solutions of the Fractional-Order Model for the Spatial Epidemiology of the COVID-19 Infection

Open Access
2023Fractional Differential Equations SolutionsDOI: 10.1155/2023/5578900

Price Dynamics of a Delay Differential Cobweb Model

Open Access
2023Complex Systems and Time Series AnalysisDOI: 10.1155/2023/1296562

Kink collision in the noncanonical <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.svg" display="inline" id="d1e581"> <mml:msup> <mml:mrow> <mml:mi>φ</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>6</mml:mn> </mml:mrow> </mml:msup> </mml:math> model: A model with localized inner structures

Open Access
2022Nonlinear Photonic SystemsDOI: 10.1016/j.rinp.2022.106197

The mathematical model for marital interactions in Ghana

Open Access
2022Family Dynamics and RelationshipsDOI: 10.1016/j.sciaf.2022.e01449

Mathematical Modelling of the Spatial Epidemiology of COVID-19 with Different Diffusion Coefficients

Open Access
2022COVID-19 epidemiological studiesDOI: 10.1155/2022/7563111

A 2-Phase Method for Solving Transportation Problems with Prohibited Routes

Open Access
2022Optimization and Mathematical ProgrammingDOI: 10.18187/pjsor.v18i3.3911

Development of mathematical model for predicting methane-to-carbon dioxide proportion in anaerobic biodegradability of cattle blood and rumen content

Open Access
2022Anaerobic Digestion and Biogas ProductionDOI: 10.1016/j.ecmx.2022.100250

Using a Divergence Regularization Method to Solve an Ill-Posed Cauchy Problem for the Helmholtz Equation

Open Access
2022Numerical methods in inverse problemsDOI: 10.1155/2022/4628634

Solving the Helmholtz Equation Together with the Cauchy Boundary Conditions by a Modified Quasi‐Reversibility Regularization Method

Open Access
2022Numerical methods in inverse problemsDOI: 10.1155/2022/5336305

Scattering of kinks in noncanonical sine-Gordon Model

Open Access
2022Nonlinear Photonic SystemsDOI: 10.55730/1300-0101.2690

Kink Collision in the Noncanonical Φ⁶ Model: A Model with Localized Inner Structures

Open Access
2022Quantum Chromodynamics and Particle InteractionsDOI: 10.2139/ssrn.4231283

Mathematical modelling of the epidemiology of COVID-19 infection in Ghana

Open Access
2021COVID-19 epidemiological studiesDOI: 10.1016/j.sciaf.2021.e01070

The Eigenspace Spectral Regularization Method for Solving Discrete Ill-Posed Systems

Open Access
2021Numerical methods in inverse problemsDOI: 10.1155/2021/4373290

A review of anaerobic digestion of slaughterhouse waste: effect of selected operational and environmental parameters on anaerobic biodegradability

2021Anaerobic Digestion and Biogas ProductionDOI: 10.1007/s11157-021-09596-8

A Finite Difference Fictitious Domain Wavelet Method for Solving Dirichlet Boundary Value Problem

Open Access
2021Image and Signal Denoising MethodsDOI: 10.29020/nybg.ejpam.v14i3.3893

Vacuum polarization energy of the kinks in the sinh-deformed models

Open Access
2021Nonlinear Photonic SystemsDOI: 10.3906/fiz-2103-32

Wavelet-Based Method for Solving Linear Elliptic PDE with Dirichlet Boundary Conditions on Irregular Domains

2021Advanced Numerical Analysis TechniquesDOI: 10.9734/bpi/tpmcs/v6/2419e

The Eigenspace Spectral Regularization Method for solving Discrete Ill-Posed Systems

Open Access
2021Iterative Methods for Nonlinear EquationsDOI: 10.22541/au.161212952.20018992/v1

Vacuum Polarization Energy of the Kinks in the Sinh-Deformed Models

Open Access
2020Nonlinear Photonic SystemsDOI: 10.48550/arxiv.2012.12343

Mathematical Modeling of Wastes Pile-Up in Kwadaso Municipality in Ashanti, Ghana

Open Access
2020Municipal Solid Waste ManagementDOI: 10.29020/nybg.ejpam.v13i4.3813

The Mathematical Modelling of Refuse Build-up on the University Campus: A Case Study of KNUST Campus

Open Access
2019Municipal Solid Waste ManagementDOI: 10.29020/nybg.ejpam.v12i4.3546

Advances in Mathematics and Computer Science Vol. 3

Open Access

The Quotient Inequalities

Open Access
2019Mathematical Inequalities and ApplicationsDOI: 10.29020/nybg.ejpam.v12i2.3384

Probabilistic modeling for an integrated temporary acquired immunity with norovirus epidemiological data

Open Access
2019Viral gastroenteritis research and epidemiologyDOI: 10.1016/j.idm.2019.04.005

The Proofs of the Arithmetic-Geometric Mean Inequality Through Both the Product and Binomial Inequalities

Open Access
2018Mathematical Inequalities and ApplicationsDOI: 10.29020/nybg.ejpam.v11i4.3300

A Generalization of Integral Transform

Open Access
2018Fractional Differential Equations SolutionsDOI: 10.29020/nybg.ejpam.v11i4.3330

Product-Normed Linear Spaces

Open Access
2018Fixed Point Theorems AnalysisDOI: 10.29020/nybg.ejpam.v11i3.3284

The Proofs of Product Inequalities in Vector Spaces

Open Access
2018Optimization and Variational AnalysisDOI: 10.29020/nybg.ejpam.v11i2.3209

The Proofs of Triangle Inequality Using Binomial Inequalities

Open Access
2018Mathematics and ApplicationsDOI: 10.29020/nybg.ejpam.v11i1.3165

On the Notes of Quasi-Boundary Value Method for Solving both Cauchy-Dirichlet Problem of the Helmholtz Equation

Open Access
2017Differential Equations and Boundary ProblemsDOI: 10.9734/bjmcs/2017/32727

Polynomial Integral Transform for Solving Differential Equations

Open Access
2016Fractional Differential Equations Solutions

A Two-Dimensional Chebyshev Wavelet Method for Solving Partial Di erential Equations

Open Access
2016Fractional Differential Equations Solutions

Convex Regularization Method for Solving Cauchy Problem of the Helmholtz Equation

Open Access
2016Numerical methods in inverse problems

Modeling the Epidemiology of Human Papilloma Virus Infection and Vaccination and Its Impact on Cervical Cancer in Ghana

Open Access
2014Cervical Cancer and HPV ResearchDOI: 10.9734/jsrr/2014/11019

Mathematical Analysis of the Impact ofVaccination in the Spread of Diseases in a Large Susceptible Population

2013Pediatric health and respiratory diseasesDOI: 10.7392/openaccess.23050423

A Note on the Spread of Infectious Diseases in a Large Susceptible Population

2012Mathematical and Theoretical Epidemiology and Ecology Models

Modelling the isotope enrichment of leaf water

2004Plant Water Relations and Carbon DynamicsDOI: 10.1007/s00285-003-0260-4

In-Place Stabilization of Waste Phosphatic Clays Using Lime Columns

1993Geotechnical Engineering and Soil Stabilization
Academic Metrics
DepartmentDepartment of Mathematics
Total Publications56
Research Themes26
Open Access Papers47

Department of Mathematics

Kwame Nkrumah University of Science and Technology

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